Question

Please i need it so badl please

The sum of the ages of Damien and Keyanna is 100 years. 10 years ago, Damien's age was 4 times Keyanna's age. How old is Damien now?

Answer 1

Damien is 74 years old now

Explanation:

Define the variables:

• Let d = age of Damien
• Let k = age of Keyanna

Given information:

• The sum of the ages of Damien and Keyanna is 100 years.
• 10 years ago, Damien's age was 4 times Keyanna's age.

From the given information, create 2 equations:

Equation 1: d + k = 100

Equation 2: d - 10 = 4(k - 10)

Rewrite Equation 1 to make k the subject:

⇒ k = 100 - d

Substitute this into Equation 2 and solve for d:

⇒ d - 10 = 4(100 - d - 10)

⇒ d - 10 = 400 - 4d - 40

⇒ d - 10 = 360 - 4d

⇒ d - 10 + 10 = 360 - 4d + 10

⇒ d = 370 - 4d

⇒ d + 4d = 370 - 4d + 4d

⇒ 5d = 370

⇒ 5d ÷ 5 = 370 ÷ 5

⇒ d = 74

Therefore, Damien is 74 years old now.